Learning Objective to be able to interpret the value of Pearson's correlation coefficient Match up t

Ximena Skinner 2022-07-10 Answered
Learning Objective to be able to interpret the value of Pearson's correlation coefficient Match up the interpretations with the values of Pearson's correlation coefficient r:
r = -1
r = 0
r = 0.34
r = 8
r = 1
1. some degree of correlation; significance test recommended
2. impossible value for r
3. no evidence of linear relationship
4. perfect positive correlation
5. perfect inverse (negative)correlation
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Answers (2)

Jamiya Costa
Answered 2022-07-11 Author has 18 answers
Correlation:
Correlation is a measure that indicates the “go-togetherness” of two data sets. It can be denoted as r. The value of the correlation coefficient lies between –1 and +1. The positive 1 indicates a perfect positive correlation and the two data sets are in the same direction. The negative 1 indicates a perfect negative correlation and the two data sets are in opposite directions. It will be zero when there is no relationship between the two data sets.
1.
r=–1.
Here, the correlation is –1.
Hence, there is a perfect negative correlation.
Option 5 is correct.
2.
r=0.
Here, the correlation is 0.
Hence, there is no evidence of linear relationship.
Option 3 is correct.
3.
r=0.34.
Here, the correlation is 0.34.
Hence, there is some degree of correlation; significance test recommened.
Option 1 is correct.
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Riya Hansen
Answered 2022-07-12 Author has 4 answers
4.
r=8.
Here, the correlation is 8 which is not possible.
Hence, it is impossible value of r.
Option 2 is correct.
5.
r=1.
Here, the correlation is 1.
Hence, there is a perfect positive correlation.
Option 4 is correct.
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